Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : If the average kinetic energy of $\text{H}_2$ and $\text{O}_2$ molecules, kept in two different sized containers are same, then their temperatures will be same.
Reason R : The r.m.s speed of $\text{H}_2$ and $\text{O}_2$ molecules are same at same temperature.
Choose the correct answer from the options given below
Answer: (C) A is true but $\mathbf{R}$ is false
Concept. Mean translational KE $\tfrac32k_BT$ depends only on $T$, not on the gas or the container. The rms speed $\sqrt{3RT/M}$ depends on the molar mass.
Step 1. Assertion. True. Reason. False (H$_2$ is four times faster than O$_2$).
Answer. Option C.
Solution by Sreeraj P, M.Sc Physics
